Definition 1.1 [1]}
Let \(k\)  be a non-negative integer or infinity. For \(a\in \mathbb {C}\cup \lbrace \infty \rbrace \)  we denote by \(E_{k}(a,f)\)  the set of all \(a\) -points of \(f\) , where an \(a\)  point of multiplicity \(m\)  is counted \(m\)  times if \(m\le k\)  and \(k+1\)  times if \(m>k.\)  If \(E_{k}(a,f)=E_{k}(a,g),\)  we say that \(f\) , \(g\)  share the value \(a\)  with weight \(k\) .

